Computing in the field of complex algebraic numbers

Journal of Symbolic Computation

Volumn 24, Issue 6, 1997, Pages 647-656

  Strzeboński, Adam Wojciech ^a,b  

^a WOLFRAM RESEARCH INC   (United States)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031541426     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1997.0158     Document Type: Article

References (11)

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2. Akritas, A.G. (1980). An implementation of Vincent's theorem. Num. Math. 36, 53-62.
3. Akritas, A.G., Bocharov, A.V., Strzeboński, A.W. (1994). Implementation of real root isolation algorithms in Mathematica. Abstracts of the Interval' 94 Conference, St. Petersburg, Russia, 23-27.
4. Akritas, A.G., Collins, G.E. (1976). Polynomial real root isolation using Descartes' rule of signs. Proc. ACM Symp. Symbolic and Algebraic Computations, Yorktown Heights, N. Y., 272-275.
5. Collins, G.E., Krandick, W. (1992). An efficient algorithm for infallible polynomial complex root isolation. Proc. Internat. Symp. Symbolic and Algebraic Computation, Wang, P. S., ed. ACM Press, Berkeley. pp. 189-194.
6. Collins, G.E., Krandick, W. (1996). A tangent-secant method for polynomial complex root calculation. Proc. Internat. Symp. Symbolic and Algebraic Computation, ACM, 137-141.
7. Gourdon, X. (1993). Algorithmique du théorème fondamental de l'algèbre. Rapport de recherche de l'INRIA RR-1852. Lakschman, Y. N., ed. Zurich.
8. Jenkins, M.A.G. (1969). Three-stage variable-shift iterations for the solution of polynomial equations with a posteriori error bounds for the zeros. Ph.D. dissertation, Stanford University.
9. Loos, R. (1982). Computing in Algebraic Extensions. Computing, 4 (Suppl.) 173-187.
10. Moore, R.E. (1979). Methods and Applications of Interval Analysis. Philadelphia: SIAM Studies in Applied Mathematics.
11. Ralston, A., Rabinowitz, P. (1978). A First Course in Numerical Analysis. McGraw-Hill.